304220013120 has 672 divisors, whose sum is σ = 1124987965920. Its totient is φ = 75308728320.

The previous prime is 304220013067. The next prime is 304220013127. The reversal of 304220013120 is 21310022403.

It can be written as a sum of positive squares in 16 ways, for example, as 151482867264 + 152737145856 = 389208^2 + 390816^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 304220013093 and 304220013102.

It is not an unprimeable number, because it can be changed into a prime (304220013127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249974752 + ... + 249975968.

It is an arithmetic number, because the mean of its divisors is an integer number (1674089235).

Almost surely, 2^304220013120 is an apocalyptic number.

304220013120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304220013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562493982960).

304220013120 is an abundant number, since it is smaller than the sum of its proper divisors (820767952800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

304220013120 is a wasteful number, since it uses less digits than its factorization.

304220013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 304220013120 its reverse (21310022403), we get a palindrome (325530035523).

The spelling of 304220013120 in words is "three hundred four billion, two hundred twenty million, thirteen thousand, one hundred twenty".